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We consider the problem of supporting VoIP calls over a wireless mesh network. We particularly consider the call admission control (CAC) decision problem for VoIP calls on a mesh network. The goal of the call admission decision is to maintain the quality of VoIP calls as given by the R-score measure. In this work, we define a notion of interference capacity model that can be efficiently used to design a CAC algorithm. We show through extensive simulation of 802.11 mesh using ns-2, that our CAC performs well in multi-hop scenarios. Specifically, the proposed CAC provides less than 20% incorrect decisions for different sizes of a multihop linear topology.